【单选题】
设R和S是集合A上的等价关系,则R∪S的对称性___。
A. 一定成立
B. 一定不成立
C. 不一定成立
D. 不可能成立
查看试卷,进入试卷练习
微信扫一扫,开始刷题
答案
A
解析
暂无解析
相关试题
【单选题】
设R和S是非空集合A上的等价关系,下述各式是等价关系的为___。
A. (A×A)-R
B. R2
C. R-S
D. r(R-S)
【单选题】
集合A上的关系R是相容关系的必要条件是___。
A. 自反、反对称的
B. 反自反、对称的
C. 传递、自反的
D. 自反、对称的
【单选题】
设R是集合A上的偏序关系, 是R的逆关系,则R∪ 是___。
A. 偏序关系
B. 等价关系
C. 相容关系
D. 都不是
【单选题】
设集合A中有4个元素,则A上的不同的等价关系的个数为___。
A. 11个
B. 14个
C. 15个
D. 17个
【单选题】
设A={a,b,c},B={1,2},令f: A→B,则不同的函数的个数为___。
A. 2+3个
B. 23个
C. 2×3个
D. 32个
【单选题】
函数的复合满足___。
A. 交换律
B. 结合律
C. 幂等律
D. 分配律
【单选题】
若f, g是满射,则复合函数 必是___。
A. 映射
B. 单射
C. 满射
D. 双射
【单选题】
若 是满射,则___。
A. f必是满射
B. f必是单射
C. g必是满射
D. g必是单射
【单选题】
f: Z→Z,对任意的i∈Z,有f(i)=i(mod8),则f是___。
A. 不是双射
B. 单射
C. 满射
D. 双射
【单选题】
Z是整数集合,函数f定义为:f:Z→Z,f(x)=| x |-2x,则f是___。
A. 单射
B. 满射
C. 双射
D. 非单射也非满射
【单选题】
设S={a,b},则S上总共可定义的二元运算的个数是___。
A. 4
B. 8
C. 16
D. 32
【单选题】
下列运算中,哪种运算关于整数集不能构成半群? ___
A.
B.
C.
D.
【单选题】
Q是有理数集,<Q,*>(其中*为普通乘法)不能构成___。
A. 群
B. 独异点
C. 半群
D. 交换半群
【单选题】
R为实数集,运算*定义为:a,b∈R, a*b=a·| b |,则代数系统<R,*>是___。
A. 半群
B. 独异点
C. 群
D. 阿贝尔群
【单选题】
下列代数系统<S,*>中,哪个是群?___。
A. S={0,1,3,5},* 是模7加法
B. S=Q(有理数集合),* 是一般乘法
C. S=Z(整数集合),* 是一般减法
D. S={1,3,4,5,9},* 是模11乘法
【单选题】
具有如下定义的代数系统<G,*>,哪个不构成群?___
A. G={1,10},* 是模11乘法
B. G={1,3,4,5,9},* 是模11乘法]
C. G=Q,* 是普通加法
D. G=Q,* 是普通乘法
【单选题】
任何一个有限群在同构的意义下可以看作是___。
A. 循环群
B. 置换群
C. 变换群
D. 阿贝尔群
【单选题】
设H,K是群<G, >的子群,下面哪个代数系统仍是<G, >的子群?___
A. <HK, >
B. <H∩K, >
C. <K-H, >
D. <H-K, >
【单选题】
任意一个具有多个等幂元的半群,它___。
A. 不能构成群
B. 不一定能构成群
C. 必能构成群
D. 能构成交换群
【单选题】
设Z是整数集合,+是一般加法,则下述函数中哪一个不是群<Z,+>的自同态? ___
A. f(x)=2x
B. f(x)=1000x
C. f(x)=| x |
D. f(x)=0
【单选题】
群<R,+>与<R-{0},×>之间的关系是___。
A. 同态
B. 同构
C. 后者是前者的子群
D. B,C均正确
【单选题】
若<H,*>是<G,*>的真子群,且| H |=n, | G |=m,则有___。
A. n整除m
B. m整除n
C. n整除m且m整除n
D. n不整除m且m不整除n
【单选题】
6阶群任何非平凡子群一定不是___。
A. 2阶
B. 3阶
C. 4阶
D. 6阶
【单选题】
设Z是整数集,+,·分别是普通加法和乘法,则<Z,+,·>是___。
A. 域
B. 整环和域
C. 整环
D. 含零因子环
【单选题】
下面哪个集合关于指定的运算构成环? ___
A. ,关于数的加法和乘法
B. {n阶实数矩阵},关于矩阵的加法和乘法
C. ,关于数的加法和乘法
D. ,关于矩阵的加法和乘法
【单选题】
+,·为一般的加法和乘法,则下述代数系统<S, +,·>中哪一个是整环?___
A.
B.
C.
D.
【单选题】
设D=<V,E>为有向图,则有___。
A. E V×V
B. E V×V
C. V×V E
D. V×V=E
【单选题】
设G=<V,E>为无环的无向图,|V|=6,|E|=16,则G是___
A. 完全图
B. 零图
C. 简单图
D. 多重图
【单选题】
含5个结点、3条边的不同构的简单图有___。
A. 2个
B. 3个
C. 4个
D. 5个
【单选题】
设G为有n个结点的简单图,则有___。
A. △(G)<n
B. △(G) ≤n
C. △(G)>n
D. △(G) ≥n
【单选题】
设G=<n,m>,且G中每个结点的度数不是k就是k+1,则G中度为k的结点的个数是___。
A. n/2
B. n(n+1)
C. nk
D. n(k+1)-2m
【单选题】
给定下列序列,可构成无向简单图的结点度数序列的是___。
A. (1,1,2,2,3)
B. (1,1,2,2,2)
C. (0,1,3,3,3)
D. (1,3,4,4,5)
【单选题】
图G和 的结点和边分别存在一一对应关系是G和 同构的___。
A. 充分条件
B. 必要条件
C. 充要条件
D. 既不充分也不必要条件
【单选题】
n个结点可构造的简单无向图(含同构图)的个数是___。
A. 2n
B.
C. n2
D.
【单选题】
K4中含3条边的不同构生成子图有___。
A. 1个
B. 3个
C. 4个
D. 2个
【单选题】
若简单图G与其补图 同构,称G为自补图。则含5个结点不同构的无向自补图的个数为___。
A. 0
B. 1
C. 2
D. 3
【单选题】
设G=<V,E>为无向图,u,v∈V,若u,v连通,则___。
A. d(u,v)>0
B. d(u,v)=0
C. d(u,v)<0
D. d(u,v)≥0
【单选题】
任何无向图中结点间的连通关系是___。
A. 偏序关系
B. 等价关系
C. 相容关系
D. 拟序关系
【单选题】
设D=<V,E>为有向图,V={a,b,c,d,e,f},E={<a,b>,<b,c>,<a,d>,<d,e>,<f,e>}是___。
A. 强连通图
B. 单向连通图
C. 弱连通图
D. 不连通图
【单选题】
设|V|>1,D=<V,E>是强连通图,当且仅当___。
A. D中至少有一条通路
B. D中至少有一条回路
C. D中有通过每个结点至少一次的通路
D. D中有通过每个结点至少一次的回路
推荐试题
【单选题】
Causes of fashions are _________. ___
A. uniform
B. varied
C. unknown
D. inexplicable
【单选题】
Present-day society is much freer and easier because it emphasizes _________. ___
A. uniformity
B. formality
C. informality
D. individuality
【单选题】
Which is the main idea of the last paragraph? ______________ ___
A. Care about appearance in formal situations.
B. Fashion in formal and informal situations.
C. Ignoring appearance in informal situations.
D. Ignoring appearance in all situations.
【单选题】
Permissive parents would ________. ___
A. let their children read any books they like to
B. not let their children see any films they like to
C. not let their children read any books without first checking their contents
D. let their children see the films with their first checking
【单选题】
The fact that parents check the contents of the book or the film for their children to read or see shows __________. ___
A. the necessity of censorship
B. that many books and films are bad
C. that children need their parents to help them understand more
D. that the parents are permissive
【单选题】
Which of the following statements is NOT true?____________ ___
A. Some adults can’t tell right from wrong.
B. Censorship is compared to the law because both of them perform good service to society as a whole.
C. Censors pay attention only to genuine works of art.
D. Censorship is necessary because many books, plays and films are far from being “works of art”.
【单选题】
What does the word “corrupt” in Para.4 mean?__________ ___
A. Make morally bad.
B. Hurt.
C. Injure.
D. Damage.
【单选题】
What would be the best title of this passage?_____________ ___
A. Permissive Parents and Responsible Parents.
B. Censorship and the Law.
C. Censors Value Artistic Merits .
D. Censorship Performs Good Service to Society.
【单选题】
Lie detectors are widely used in the United States because _____________. ___
A. they can help detect people’s emotional stress
B. they can help detect people's physiological changes
C. they can help find out whether a person is telling the truth or not
D. they can measure the subject’s electrical resistance
【单选题】
According to the passage, we know that Britain______________. ___
A. will adopt lie detectors widely
B. will adopt lie detectors on a smaller scale
C. adopt lie detectors
D. has not decided whether to adopt lie detectors or not
【单选题】
The tests themselves are by no means free from error..." (Line 1-2.Para.3) means ____________. ___
A. the tests definitely have no error
B. the tests sometimes make mistakes
C. the polygraphers do not make mistakes
D. the polygraphers can avoid error by using some techniques
【单选题】
Which of the following is true? ________________ ___
A. The tests are conducted by qualified polygraphers.
B. Innocent people may blush or stammer when questioned.
C. Guilty people can definitely be found out by answer questions
D. Guilty people may escape by refusing to answer questions.
【单选题】
What troubles lie detector researchers most is that _______________. ___
A. innocent people are convicted crimes
B. innocent people will learn to tell lies
C. lie detectors may cause industrial unrests
D. lie detectors are sometimes not dependable
【单选题】
In the passage the author's attitude towards "mixed-ability teaching" is _______. ___
A. critical
B. questioning
C. approving
D. objective
【单选题】
By "held back" (Line 1) the author means _____. ___
A. made to remain in the same classes
B. forced to study in the lower classes
C. drawn to their studies
D. prevented from advancing
【单选题】
The author argues that a teacher's chief concern should be the development of the student's _________. ___
A. personal qualities and social skills
B. total personality
C. learning ability and communicative skills
D. intellectual ability
【单选题】
Which of the following is NOT MENTIONED in the third paragraph? __________ ___
A. Group work gives pupils the opportunity to learn to work together with others.
B. Pupils also learn to develop their reasoning abilities.
C. Group work provides pupils with the opportunity to learn to be capable organizers.
D. Pupils also learn how to participate in teaching activities.
【单选题】
The author's purpose in writing this passage is to ______. ___
A. argue for teaching bright and not-so-bright pupils in the same class
B. recommend pair work and group work for classroom activities
C. offer advice on the proper use of the library
D. emphasize the importance of appropriate formal classroom teaching
【单选题】
According to the author, the deaths among youth are mainly caused by _____. ___
A. traffic accidents
B. smoking-related diseases
C. murder
D. all of these
【单选题】
Every day there are over_____high school students who will become regular smoker. ___
A. 75
B. 23
C. 30
D. 3000
【单选题】
By "dropout" the author means______. ___
A. students who failed the examination
B. students who left school
C. students who lost their way
D. students who were driven out of school
【单选题】
The reason for declining adolescent smoking is that ________. ___
A. NCI has taken effective measures
B. smoking is prevented among high school seniors
C. there are many smokers who have died of cancer
D. not stated
【单选题】
What is implied but not stated by the author is that ________. ___
A. smoking rates among youth have declined very little
B. there are now more female than male smokers among high school seniors
C. high smoking rates are due to the increase in wealth
D. smokers at high school are from low socio-economic backgrounds
【单选题】
According to the passage, which of the following is NOT a disadvantage of part time education? _______________ ___
A. It requires some break in one's career.
B. It tends to last too long for many people to complete a degree program.
C. It affects one's career.
D. It gives the student less time to share with the family.
【单选题】
Which of the following is NOT an advantage of distance learning? _________ ___
A. The student may choose his or her own pace.
B. The student may study at any time to his or her convenience.
C. They can pursue their chosen career while studying.
D. Their tutorial assistance comes through regular airmail, telephone, etc.
【单选题】
What benefit will distance learning program bring to a business? __________ ___
A. Recruitment of more talented people.
B. Good image of the business.
C. Better cooperation with universities.
D. Further training of employees and business growth.
【单选题】
Good distance learning program have the following characteristic EXCEPT______. ___
A. distance learning course is the same as students taking courses in campus
B. the degree should be same as on campus study
C. professor-student relationship is strictly one to one all through the course
D. includes subject evaluation tool
【单选题】
What benefit will distance learning bring to an employee of a business? ___________ ___
A. Professional growth.
B. Good relationship with the employer.
C. Good impression on the employer.
D. Higher salary.
【单选题】
In the first paragraph, what does "plastic money" (Line 6, Para.1) refer to? ______ ___
A. Dollars.
B. Online payment.
C. Credit cards.
D. Coins.
【单选题】
Which of the following is NOT true about credit cards? ____________ ___
A. Shopkeepers, among others, object to the use of credit cards because they add on the cost of the merchandise.
B. Credit card holders actually pay for their goods after the purchase has been completed.
C. The national company enjoys extensive growth because of the use of credit cards.
D. It has had the effect of increasing consumption.
【单选题】
What is the disadvantage of credit cards? _____________ ___
A. It may lead to the overgrowth of the national economy.
B. The delay in the payment of shopping goods may bring damage to shopkeepers' profits.
C. Some people may intentionally purchase goods that they cannot possibly afford.
D. Those who pay by cash at the purchase will have to pay for the cost added to the product as the interest charge of credit cards.
【单选题】
What is the main topic of the text? ________________ ___
A. Advantages and Disadvantages of Credit Cards.
B. Economic Growth Backed up by the Use of Credit Cards.
C. It can encourage great sums of consumption.
D. Credit Cards Make Life
E. asier.
【单选题】
The author's attitude towards credit card is.______________. ___
A. agreeable
B. neutral
C. humorous
D. oppositional
【单选题】
不含有割地内容的不平等条约是___。
A. 《南京条约》
B. 《北京条约》
C. 《马关条约》
D. 《辛丑条约》
【单选题】
在甲午战争后,严复翻译的《天演论》所宣传的重要思想是___。
A. “师夷长技以制夷”
B. “中学为体,西学为用”
C. “天下兴亡,匹夫有责”
D. “物竞天择,适者生存”
【单选题】
火烧圆明园发生在___期间。
A. 鸦片战争
B. 第二次鸦片战争
C. 甲午战争
D. 八国联军侵华战争
【单选题】
规定允许外国在中国办工厂的条约是___。
A. 《南京条约》
B. 《北京条约》
C. 《马关条约》
D. 《辛丑条约》
【单选题】
1895 年,日本强迫清政府签订___,割去台湾全岛及所有附属岛屿和澎湖列岛。
A. 《南京条约》
B. 《北京条约》
C. 《马关条约》
D. 《辛丑条约》
【单选题】
近代以来中国反侵略战争失败的最根本原因是___。
A. 帝国主义的强大
B. 社会制度的腐败
C. 经济技术的落后
D. 中国军队军事素质低下
【单选题】
鸦片战争以清政府的失败而告终。1842 年 8 月 29 日,清政府与英国签订了中国近代史上的第一个不平等条约是___。
A. 中英《虎门条约》
B. 中英《南京条约》
C. 中美《望厦条约》
D. 中法《黄埔条约》